Least Common Multiple of 9100/500, 9716/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9100/500, 9716/490 quickly i.e. 315770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9100/500, 9716/490 is 315770.

LCM(9100/500, 9716/490) = 315770

LCM of 9100/500, 9716/490

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9100/500,9716/490

Given numbers are 9100/500,9716/490

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9100,9716

Least Common Multiple of Numerators i.e. LCM of 9100,9716 is 3157700.

GCF of Denominators means GCF of 500,490 as per the given fractions.

GCF of 500,490 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9100,9716

LCM of Fractions 9100/500,9716/490 is 315770

2 9100, 9716
2 4550, 4858
7 2275, 2429
325, 347

∴ So the LCM of the given numbers is 2 x 2 x 7 x 325 x 347 = 3157700

Least Common Multiple of 9100,9716 with GCF Formula

Least Common Multiple of 9100,9716 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9100,9716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9100,9716) = 28

common factors(in case of two or more numbers have common factors) = 1

GCF(9100,9716) x common factors =28 x 1 = 28

LCM(9100,9716) = ( 9100 × 9716 ) / 28

LCM(9100,9716) = 88415600 / 28

LCM(9100,9716) = 3157700


Lets's calculate GCF of 500,490

2 500, 490
5 250, 245
50, 49

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3157700/10

Therefore the LCM of Fractions 9100/500,9716/490 is 315770

Greatest Common Factor of 500,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,490 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 500,490 . The biggest common factor number is the GCF number.
So the greatest common factor 500,490 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9100/500, 9716/490

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9100/500, 9716/490?

Answer: LCM of Numerators as per given numbers 9100/500, 9716/490 is

LCM of Numerators i.e. for 9100,9716 is 3157700

GCF of denominators i.e. for 500,490 is 10.

Thus, LCM of Fractions is 315770.Finally, LCM of Fractions for 9100/500, 9716/490 is 315770.